Fixed points of α-Θ-geraghty type and Θ-geraghty graphic type contractions

Abstract

In this paper, by using the concept of the α-Garaghty contraction, we introduce the new notion of the α-Θ-Garaghty type contraction and prove some fixed point results for this contraction in partial metric spaces. Also, we give some examples and applications to illustrate the main results.